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5012078664 = 233616735087
BaseRepresentation
bin1001010101011111…
…00100000001001000
3110221022002222101010
410222233210001020
540231043004124
62145202123520
7235126652145
oct45257440110
913838088333
105012078664
11214220797a
12b7a6505a0
1361b4ca628
143579273cc
151e5040529
hex12abe4048

5012078664 has 64 divisors (see below), whose sum is σ = 12757040640. Its totient is φ = 1640540160.

The previous prime is 5012078653. The next prime is 5012078681. The reversal of 5012078664 is 4668702105.

It is a super-3 number, since 3×50120786643 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982729 + ... + 987815.

It is an arithmetic number, because the mean of its divisors is an integer number (199328760).

Almost surely, 25012078664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012078664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378520320).

5012078664 is an abundant number, since it is smaller than the sum of its proper divisors (7744961976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5012078664 is a wasteful number, since it uses less digits than its factorization.

5012078664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5012078664 is about 70796.0356517228. The cubic root of 5012078664 is about 1711.3517877098.

The spelling of 5012078664 in words is "five billion, twelve million, seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 673 732 1346 1464 2019 2692 4038 5087 5384 8076 10174 15261 16152 20348 30522 40696 41053 61044 82106 122088 123159 164212 246318 310307 328424 492636 620614 930921 985272 1241228 1861842 2482456 3423551 3723684 6847102 7447368 10270653 13694204 20541306 27388408 41082612 82165224 208836611 417673222 626509833 835346444 1253019666 1670692888 2506039332 5012078664